Question

2*. A person wants to push a lamp (mass 8.0 kg) across the floor. The coefficient of friction be tween the lamp and the floor is k = 0.15. Cal- culate the maximum height x above the floor at which the person can push the lamp so that the lamp slides at constant speed rather than tips. The base of the lamp is a circle of radius 0.12 m. The lamp's center of gravity is directly above the center of the circular base. [When the lamp is just sitting at rest on the floor, the normal force exerted by the floor on the lamp is a "distributed force" whose centroid is at the center of the lamp's base. But when you push the lamp across the floor by its pole, the centroid of the distributed normal force moves forward. When you push the lamp by a point so high up the pole that the lamp is on the cusp of tipping over, the normal force is concen- trated at the front edge of the base of the lamp So you want to consider the extreme case where CG mg Ffr the normal force is concentrated at the front of the 12 cm base. Using the front of the base as a pivot, you need to make sure that the lamp will not pivot clockwise about the front of the base, i.e. is in equilibrium.]

Answer 1

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